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COMMUTATIVE PROPERTY. What does the word commute mean or in what context is it used? Definition : Commutative Property says that the ______________ in which you add or multiply numbers ____________ change the sum or product (answer). Travel, exchange, switch. order. does not.
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COMMUTATIVE PROPERTY • What does the word commute mean or in what context is it used? • Definition: Commutative Property says that the ______________ in which you add or multiply numbers ____________ change the sum or product (answer) Travel, exchange, switch order does not
COMMUTATIVE PROPERTY • Addition: • a + b = b + a • Example: 15 + 12 = 27 = 12 + 15 • 3 + 4 + 5 + 6 = 18 = 6 + 4 + 3 + 5 • Multiplication: • a * b = b*a • Example: -7 * 11 = -77 = 11 * -7 • 2 * 3 * 4 =24 = 3 * 4 * 2
ASSOCIATIVE PROPERTY • What does the word associate mean or in what context is it used? • Definition: Associative Property says that the way you _______________ more numbers when adding or multiplying ______________ change their sum or product. Combine, join, together, socialize, group group three or does not
ASSOCIATIVE PROPERTY Addition Multiplication (a * b) * c = a * (b * c) Example: (3*-6) * 5 = -90 = 3 * (-6 *5) 2 * 3 * 4 * 5 =120 = (2 * 3) * (4 * 5) • (a + b) + c = a + (b + c) • Example: (11 + 8) + 9 = 28 = 11 + (8 + 9) • 0.4 + 1.1 + 1.5 + 1.5 = 4.5 = (0.4 + 1.1) + (1.5 + 1.5)
ORDER OF OPERATIONS Please Excuse My Dear Aunt Sally arenthesis • P • E • M • D • A • S A S xponents M D ultiplication LEFT TO RIGHT ivision E ddition LEFT TO RIGHT (WHICH EVER COMES FIRST) P/G ubtraction
ORDER OF OPERATIONS 1. 4. if a = 7, b = 3, and c = 5 2. 5. 3. 6.
Homework • Pg 14 16-28 EVEN, 29